Metrics for bug500 (missed optimization)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50.4%	49.6%	0%	0%	0%	0
100%	50.4%	0%	49.6%	0%	0%	0%	1

Compiler

Compiled 12 to 9 computations (25% saved)

sample1.2s (19.1%)

Memory

-117.3MiB live, 734.7MiB allocated

Samples

862.0ms	7 244×	1	valid
88.0ms	510×	2	valid
23.0ms	502×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 770.0ms

ival-sin: 502.0ms (65.2% of total)

adjust: 104.0ms (13.5% of total)

ival-sub: 89.0ms (11.6% of total)

ival-<: 49.0ms (6.4% of total)

ival-and: 12.0ms (1.6% of total)

exact: 11.0ms (1.4% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain69.0ms (1.1%)

Memory

-17.8MiB live, 59.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
94	-	-	`(-.f64 (sin.f64 x) x)`
0	-	-	`(sin.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (sin.f64 x) x)`	cancellation	94	0

Confusion

	Predicted +	Predicted -
+	94	0
-	0	162

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	94	0	0
-	0	0	162

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	162
1	94

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

31.0ms	434×	1	valid
6.0ms	42×	0	valid
5.0ms	36×	2	valid

Compiler

Compiled 22 to 13 computations (40.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-sin: 17.0ms (60.9% of total)

adjust: 5.0ms (17.9% of total)

ival-sub: 5.0ms (17.9% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

preprocess17.0ms (0.3%)

Memory

14.4MiB live, 14.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	15	11
2	46	8
3	103	8
4	135	8
5	137	8
0	3	4
0	5	4
1	7	4
2	12	4
3	18	4
4	26	4
5	41	4
6	74	4
7	100	4
8	143	4
9	160	4
10	172	4
0	172	4

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(-.f64 (sin.f64 x) x)

Outputs
(-.f64 (sin.f64 x) x)

Symmetry

(negabs x)

Compiler

Compiled 4 to 3 computations (25% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.1%	(-.f64 (sin.f64 x) x)

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sin.f64 x)
cost-diff	0	(-.f64 (sin.f64 x) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	7
0	5	7
1	7	7
2	12	7
3	18	7
4	26	7
5	41	7
6	74	7
7	100	7
8	143	7
9	160	7
10	172	7
0	172	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (sin.f64 x) x)
(sin.f64 x)
x

Outputs
(-.f64 (sin.f64 x) x)
(sin.f64 x)
x

localize30.0ms (0.5%)

Memory

-30.1MiB live, 20.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(sin.f64 x)
accuracy	19.78100445291734	(-.f64 (sin.f64 x) x)

Samples

21.0ms	217×	1	valid
3.0ms	18×	2	valid
1.0ms	21×	0	valid

Compiler

Compiled 9 to 5 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sin: 8.0ms (45.1% of total)

ival-sub: 7.0ms (39.4% of total)

adjust: 3.0ms (16.9% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())

Outputs
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ (sin x) x) 1)) (taylor inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ (sin x) x) 1)) (taylor inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ (sin x) x) 1)) (taylor inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	((- (sin x) x) (sin x))
0.0ms	x	@	inf	((- (sin x) x) (sin x))
0.0ms	x	@	-inf	((- (sin x) x) (sin x))

simplify117.0ms (1.8%)

Memory

14.2MiB live, 89.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	170
1	121	164
2	313	164
3	939	152
4	2033	140
5	3880	140
0	8027	128

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 23

Calls

Call 1

Inputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(sin x)
(sin x)
(sin x)
(sin x)
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(sin x)
(sin x)
(sin x)
(sin x)

Outputs
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)

rewrite146.0ms (2.3%)

Memory

-7.4MiB live, 108.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	6
0	5	6
1	20	6
2	148	6
3	1494	6
0	8322	6

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

2 → 174

Calls

Call 1

Inputs
(-.f64 (sin.f64 x) x)
(sin.f64 x)

Outputs
#<batchref>
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eval20.0ms (0.3%)

Memory: 26.7MiB live, 26.7MiB allocated
Compiler: Compiled 6 095 to 589 computations (90.3% saved)

prune11.0ms (0.2%)

Memory

-21.2MiB live, 18.0MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	190	7	197
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	190	8	198

Accuracy

99.8%

Counts

198 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.0%	(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 x) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
	6.6%	(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
✓	69.1%	(-.f64 (sin.f64 x) x)
▶	99.0%	#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
▶	98.9%	#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
▶	98.4%	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
▶	97.4%	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
▶	6.4%	#s(approx (- (sin x) x) (neg.f64 x))

Compiler

Compiled 226 to 135 computations (40.3% saved)

simplify153.0ms (2.4%)

Memory

24.2MiB live, 104.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
cost-diff	0	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- (sin x) x) (neg.f64 x))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	225
0	45	225
1	80	225
2	171	225
3	433	225
4	1116	225
5	2128	225
6	2900	225
7	3287	225
8	3387	225
9	3754	225
10	5063	225
0	8380	225

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64))
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64))
#s(literal 1/362880 binary64)
(*.f64 x x)
x
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (sin x) x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)

Outputs
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64))
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))
#s(literal 1/362880 binary64)
(*.f64 x x)
x
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (sin x) x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)

localize146.0ms (2.3%)

Memory

7.1MiB live, 121.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
accuracy	0.015625	(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
accuracy	0.135097509768442	(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
accuracy	0.6077425779489262	#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
accuracy	0	(*.f64 x x)
accuracy	0.015625	(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
accuracy	0.125	(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
accuracy	0.8801606959280683	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
accuracy	0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.1328125	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
accuracy	1.5342305229138378	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
accuracy	0	(neg.f64 x)
accuracy	59.90832319576606	#s(approx (- (sin x) x) (neg.f64 x))
accuracy	0.0078125	(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64))
accuracy	0.01953125	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
accuracy	0.1328125	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
accuracy	0.5410417827703188	#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))

Samples

104.0ms	217×	1	valid
12.0ms	18×	2	valid
5.0ms	21×	0	valid

Compiler

Compiled 186 to 29 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-mult: 30.0ms (32.5% of total)

const: 21.0ms (22.7% of total)

adjust: 13.0ms (14.1% of total)

ival-add: 13.0ms (14.1% of total)

ival-sin: 7.0ms (7.6% of total)

ival-sub: 3.0ms (3.2% of total)

ival-pow: 3.0ms (3.2% of total)

ival-neg: 1.0ms (1.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory

-28.8MiB live, 15.8MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (sin x) x) (neg.f64 x)) (patch #s(approx (- (sin x) x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow x 5)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 7)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((- (sin x) x) (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (- (sin x) x) (neg x) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120))
3.0ms	x	@	inf	((- (sin x) x) (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (- (sin x) x) (neg x) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120))
2.0ms	x	@	0	((- (sin x) x) (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (- (sin x) x) (neg x) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120))

Time

Variable

Point

Expression

7.0ms

-inf

((- (sin x) x) (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (- (sin x) x) (neg x) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120))

3.0ms

inf

((- (sin x) x) (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (- (sin x) x) (neg x) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120))

2.0ms

((- (sin x) x) (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (- (sin x) x) (neg x) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120))

simplify106.0ms (1.6%)

Memory

4.2MiB live, 80.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	1696
1	262	1696
2	783	1696
3	2456	1636
4	6410	1576
0	8264	1492

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(+ 1/120 (* -1/5040 (pow x 2)))
(+ 1/120 (* -1/5040 (pow x 2)))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* 1/362880 (pow x 9))
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 4))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* 1/362880 (pow x 9))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 4))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1/5040 (pow x 7))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))

Outputs
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64))
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* 1/362880 (pow x 9))
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/362880 binary64))
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 9 binary64)))
(* 1/362880 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/362880 binary64))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* 1/362880 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/362880 binary64))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x)
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(fma.f64 (.f64 #s(literal -1/5040 binary64) x) x (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/362880 binary64)) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(fma.f64 (.f64 #s(literal -1/5040 binary64) x) x (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/362880 binary64)) (pow.f64 x #s(literal 4 binary64))))
(* -1 x)
(neg.f64 x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1 x)
(neg.f64 x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* -1/5040 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* -1/5040 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x)))) (pow.f64 x #s(literal 4 binary64)))
(* -1/5040 (pow x 2))
(.f64 #s(literal -1/5040 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* 1/362880 (pow x 9))
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/362880 binary64))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (pow.f64 x #s(literal 9 binary64)))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 9 binary64)))
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 9 binary64)))
(* 1/362880 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/362880 binary64))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* 1/362880 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/362880 binary64))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x)
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(fma.f64 (.f64 #s(literal -1/5040 binary64) x) x (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/362880 binary64)) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(fma.f64 (.f64 #s(literal -1/5040 binary64) x) x (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/362880 binary64)) (pow.f64 x #s(literal 4 binary64))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1/5040 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* -1/5040 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x)))) (pow.f64 x #s(literal 4 binary64)))
(* -1/5040 (pow x 2))
(.f64 #s(literal -1/5040 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))

rewrite189.0ms (2.9%)

Memory

29.3MiB live, 142.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	185
0	45	185
1	171	185
2	1194	185
0	8277	185

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

17 → 433

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64))
#s(approx (- (sin x) x) (neg.f64 x))
(neg.f64 x)
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))

Outputs
#<batchref>
#<batchref>
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eval99.0ms (1.5%)

Memory: -0.7MiB live, 119.4MiB allocated
Compiler: Compiled 21 012 to 2 321 computations (89% saved)

prune37.0ms (0.6%)

Memory

-10.6MiB live, 65.3MiB allocated

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	822	13	835
Fresh	0	2	2
Picked	2	3	5
Done	0	1	1
Total	824	19	843

Accuracy

100.0%

Counts

843 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.0%	(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 x) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
	6.6%	(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
✓	69.1%	(-.f64 (sin.f64 x) x)
	98.5%	#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
	98.4%	#s(approx (- (sin x) x) (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
	98.8%	#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (*.f64 x x) x)))
✓	98.4%	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
	98.4%	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))
	97.4%	#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
✓	97.4%	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
▶	97.3%	#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
▶	98.9%	#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x))
▶	98.4%	#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
	97.4%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
	97.4%	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
▶	97.4%	#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
✓	6.4%	#s(approx (- (sin x) x) (neg.f64 x))
	11.7%	#s(approx (- (sin x) x) #s(approx (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 9 binary64)))))
▶	38.7%	#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))

Compiler

Compiled 488 to 327 computations (33% saved)

simplify152.0ms (2.4%)

Memory

18.5MiB live, 98.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))
cost-diff	0	(pow.f64 x #s(literal 3/2 binary64))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
cost-diff	6784	(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
cost-diff	0	(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
cost-diff	0	#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
cost-diff	0	#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
cost-diff	512	(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
cost-diff	-5824	(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal -1/6 binary64) (.f64 x x))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
cost-diff	0	(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x))

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	40	306
0	62	283
1	111	283
2	206	283
3	451	283
4	1072	283
5	2713	283
6	5012	283
7	7277	281
0	8179	281

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))
(*.f64 x x)
x
#s(literal 1/362880 binary64)
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(.f64 #s(literal -1/6 binary64) (.f64 x x))
#s(literal -1/6 binary64)
(*.f64 x x)
x
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
(.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x))
(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
#s(literal 1/120 binary64)
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)

Outputs
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x))
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x)
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x)
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64))
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64))
(*.f64 x x)
x
#s(literal 1/362880 binary64)
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
#s(literal -1/6 binary64)
(*.f64 x x)
x
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))
(.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
#s(literal 1/120 binary64)
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)

localize245.0ms (3.8%)

Memory

3.4MiB live, 267.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 x #s(literal 3/2 binary64))
accuracy	0.1171875	(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
accuracy	0.27734375	(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))
accuracy	1.5342305229138378	#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
accuracy	0.0078125	(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
accuracy	0.2265625	(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy	0.8801606959280683	#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
accuracy	37.882906603018995	(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
accuracy	0.015625	(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
accuracy	0.11166000976844201	(.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x))
accuracy	0.29296875	(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)
accuracy	0.8801606959280683	#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
accuracy	0	(*.f64 x x)
accuracy	0.11328125	(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
accuracy	0.203125	(.f64 #s(literal -1/6 binary64) (.f64 x x))
accuracy	1.5342305229138378	#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
accuracy	0.01953125	(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
accuracy	0.109375	(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x)
accuracy	0.20541000976844204	(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x))
accuracy	0.5410417827703188	#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x))

Samples

181.0ms	217×	1	valid
14.0ms	18×	2	valid
7.0ms	21×	0	valid

Compiler

Compiled 233 to 39 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-mult: 67.0ms (40.1% of total)

const: 38.0ms (22.8% of total)

adjust: 23.0ms (13.8% of total)

ival-pow: 12.0ms (7.2% of total)

ival-add: 10.0ms (6% of total)

ival-sin: 8.0ms (4.8% of total)

ival-sub: 5.0ms (3% of total)

ival-div: 3.0ms (1.8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series86.0ms (1.3%)

Memory

-42.5MiB live, 67.2MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#s(alt #s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x)) (patch #s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)) (patch #s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/6 binary64) (.f64 x x)) (patch (.f64 #s(literal -1/6 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x) (patch (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x) #<representation binary64>) () ())
#s(alt #s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x))) (patch #s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (patch (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))) (patch (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) (patch #s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) (patch #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (patch (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))) (patch (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 3/2 binary64)) (patch (pow.f64 x #s(literal 3/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)) (patch (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())

Outputs
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x)) (patch #s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x)) (patch #s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x)) (patch #s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x)) (patch #s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
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#s(alt (/ 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

59.0ms

-inf

((- (sin x) x) (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (* x x)) (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (- (sin x) x) (* -1/6 (* x x)) (* x x) (* (* -1/6 (* x x)) x) (- (sin x) x) (* (+ (* 1/120 (* x x)) -1/6) x) (+ (* 1/120 (* x x)) -1/6) (* (- 1/120 (/ 1/6 (* x x))) (pow x 5)) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (- 1/120 (/ 1/6 (* x x))) (* (pow x 3/2) (* (pow x 3/2) -1/6)) (- (sin x) x) (pow x 3/2) (* (pow x 3/2) -1/6) (* (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (* x x)) x) (* (* (+ (* 1/120 (* x x)) -1/6) x) (* x x)) (/ 1/6 (* x x)))

4.0ms

inf

((- (sin x) x) (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (* x x)) (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (- (sin x) x) (* -1/6 (* x x)) (* x x) (* (* -1/6 (* x x)) x) (- (sin x) x) (* (+ (* 1/120 (* x x)) -1/6) x) (+ (* 1/120 (* x x)) -1/6) (* (- 1/120 (/ 1/6 (* x x))) (pow x 5)) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (- 1/120 (/ 1/6 (* x x))) (* (pow x 3/2) (* (pow x 3/2) -1/6)) (- (sin x) x) (pow x 3/2) (* (pow x 3/2) -1/6) (* (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (* x x)) x) (* (* (+ (* 1/120 (* x x)) -1/6) x) (* x x)) (/ 1/6 (* x x)))

3.0ms

((- (sin x) x) (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (* x x)) (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (- (sin x) x) (* -1/6 (* x x)) (* x x) (* (* -1/6 (* x x)) x) (- (sin x) x) (* (+ (* 1/120 (* x x)) -1/6) x) (+ (* 1/120 (* x x)) -1/6) (* (- 1/120 (/ 1/6 (* x x))) (pow x 5)) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (- 1/120 (/ 1/6 (* x x))) (* (pow x 3/2) (* (pow x 3/2) -1/6)) (- (sin x) x) (pow x 3/2) (* (pow x 3/2) -1/6) (* (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (* x x)) x) (* (* (+ (* 1/120 (* x x)) -1/6) x) (* x x)) (/ 1/6 (* x x)))

simplify149.0ms (2.3%)

Memory

22.6MiB live, 143.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	2214
1	265	2182
2	812	2142
3	2605	2082
4	6811	2022
0	8092	1936

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* 1/120 (pow x 2)) 1/6))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(/ -1/6 (pow x 2))
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 2))
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 2))
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 2))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(* -1/6 (sqrt (pow x 3)))
(* -1/6 (sqrt (pow x 3)))
(* -1/6 (sqrt (pow x 3)))
(* -1/6 (sqrt (pow x 3)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* 1/362880 (pow x 8))
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 4))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* 1/120 (pow x 3))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
1/120
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(* -1/6 (sqrt (pow x 3)))
(* -1/6 (sqrt (pow x 3)))
(* -1/6 (sqrt (pow x 3)))
(* -1/6 (sqrt (pow x 3)))
(* 1/362880 (pow x 9))
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* 1/362880 (pow x 8))
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
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(* 1/362880 (pow x 6))
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(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 4))
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(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
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(* 1/120 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
1/120
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(* 1/6 (* (pow x 3) (pow (sqrt -1) 2)))
(* 1/6 (* (pow x 3) (pow (sqrt -1) 2)))
(* 1/6 (* (pow x 3) (pow (sqrt -1) 2)))
(* 1/6 (* (pow x 3) (pow (sqrt -1) 2)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* -1/6 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1/6 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1/6 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1/6 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* 1/362880 (pow x 9))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))

Outputs
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x)
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64))
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
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(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
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(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
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(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ -1/6 (pow x 2))
(/.f64 #s(literal -1/6 binary64) (*.f64 x x))
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 2))
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 2))
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(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 2))
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(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
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(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
1/120
#s(literal 1/120 binary64)
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (* (pow x 3) (pow (sqrt -1) 2)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* 1/6 (* (pow x 3) (pow (sqrt -1) 2)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* 1/6 (* (pow x 3) (pow (sqrt -1) 2)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* 1/6 (* (pow x 3) (pow (sqrt -1) 2)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* -1/6 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64))
(* -1/6 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64))
(* -1/6 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64))
(* -1/6 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64))
(* 1/362880 (pow x 9))
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/362880 binary64))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))

rewrite301.0ms (4.7%)

Memory

-23.1MiB live, 135.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	271
0	62	249
1	222	249
2	1276	249
0	8525	245

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

22 → 510

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64))
#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(*.f64 x x)
(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
(pow.f64 x #s(literal 3/2 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x)
(.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))

Outputs
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eval153.0ms (2.4%)

Memory: 35.7MiB live, 145.7MiB allocated
Compiler: Compiled 22 692 to 2 864 computations (87.4% saved)

prune72.0ms (1.1%)

Memory

-28.3MiB live, 91.6MiB allocated

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	984	10	994
Fresh	3	7	10
Picked	2	3	5
Done	1	3	4
Total	990	23	1 013

Accuracy

100.0%

Counts

1 013 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.0%	(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 x) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
	6.6%	(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
✓	69.1%	(-.f64 (sin.f64 x) x)
	98.4%	#s(approx (- (sin x) x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) (.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) x))))
▶	98.5%	#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
	98.8%	#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (*.f64 x x) x)))
	98.9%	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) x) x) (.f64 x x) (.f64 #s(literal -1/6 binary64) (.f64 x x))) x))
▶	98.4%	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))
	98.4%	#s(approx (- (sin x) x) (.f64 (fma.f64 x #s(literal -1/6 binary64) (.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) x)) (*.f64 x x)))
	97.4%	#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
✓	97.4%	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
✓	97.3%	#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
▶	98.9%	#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) x))
▶	98.4%	#s(approx (- (sin x) x) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x)))
✓	98.9%	#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x))
	98.4%	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
	97.4%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
	97.4%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
▶	97.4%	#s(approx (- (sin x) x) (.f64 (.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
	97.4%	#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) x))
✓	97.4%	#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
✓	6.4%	#s(approx (- (sin x) x) (neg.f64 x))
	38.7%	#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))))

Compiler

Compiled 594 to 373 computations (37.2% saved)

simplify255.0ms (3.9%)

Memory

23.7MiB live, 109.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
cost-diff	1088	(/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
cost-diff	0	(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x)))
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))
cost-diff	0	(.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x)
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) x))
cost-diff	1088	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	355
0	59	329
1	108	321
2	200	321
3	488	321
4	978	321
5	2040	321
6	3385	321
7	3750	321
8	3998	321
9	4493	321
10	7620	321
0	8027	321

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) x))
(.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) x)
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64))
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64))
#s(literal 1/362880 binary64)
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
(.f64 (.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))
(.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x)
#s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
x
(*.f64 x x)
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(.f64 (.f64 x x) x)
#s(approx (- (sin x) x) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x)))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)

Outputs
#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) x))
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
(.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) x)
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x)
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64))
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64))
#s(literal 1/362880 binary64)
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))))
(.f64 (.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))
(.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)))
(.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x)
#s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
x
(*.f64 x x)
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(.f64 (.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
#s(approx (- (sin x) x) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)

localize181.0ms (2.8%)

Memory

4.7MiB live, 200.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.015625	(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
accuracy	0.02734375	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
accuracy	0.08984375	(/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
accuracy	0.8801606959280683	#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
accuracy	0.015625	(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
accuracy	0.02734375	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
accuracy	0.11166000976844201	(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x))
accuracy	0.8801606959280683	#s(approx (- (sin x) x) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x)))
accuracy	0.015625	(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
accuracy	0.0859375	(.f64 (.f64 x x) x)
accuracy	0.125	(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x))
accuracy	0.8801606959280683	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))
accuracy	0.11166000976844201	(.f64 (.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))
accuracy	0.29296875	(.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x)
accuracy	0.8801606959280683	#s(approx (- (sin x) x) (.f64 (.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
accuracy	1.5893222125385185	#s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))
accuracy	0.01953125	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
accuracy	0.109375	(.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) x)
accuracy	0.1328125	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
accuracy	0.5410417827703188	#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) x))

Samples

129.0ms	217×	1	valid
13.0ms	18×	2	valid
6.0ms	21×	0	valid

Compiler

Compiled 297 to 34 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-mult: 36.0ms (31.4% of total)

const: 21.0ms (18.3% of total)

ival-div: 15.0ms (13.1% of total)

adjust: 13.0ms (11.3% of total)

ival-add: 10.0ms (8.7% of total)

ival-pow: 8.0ms (7% of total)

ival-sin: 7.0ms (6.1% of total)

ival-sub: 3.0ms (2.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory

-10.8MiB live, 25.8MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) (patch (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x)) (patch #s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (sin x) x) (.f64 (.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (.f64 x x))) (patch #s(approx (- (sin x) x) (.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (patch (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (patch #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (sin x) x) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (.f64 x x))) (patch #s(approx (- (sin x) x) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (patch (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))) (patch #s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) (patch (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (.f64 x x)) (patch (.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (.f64 x x)) (patch (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (.f64 x x)) #<representation binary64>) () ())

Outputs
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) (patch (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) (patch (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) (patch (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) (patch (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x)) (patch #s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x)) (patch #s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x)) (patch #s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x)) (patch #s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt -6 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -3/10 (pow x 2)) 6) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* -11/1400 (pow x 2)) 3/10)) 6) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* (pow x 2) (- (* -17/126000 (pow x 2)) 11/1400)) 3/10)) 6) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (.f64 x x))) (patch #s(approx (- (sin x) x) (.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (.f64 x x))) (patch #s(approx (- (sin x) x) (.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (.f64 x x))) (patch #s(approx (- (sin x) x) (.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (.f64 x x))) (patch #s(approx (- (sin x) x) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (.f64 x x))) (patch #s(approx (- (sin x) x) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (.f64 x x))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ 120 (* 2400 (/ 1 (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 1/120 (pow x 5)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (patch (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (patch (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (patch (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (patch (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))) (patch #s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))) (patch #s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/362880 (pow x 9)) (taylor -inf x) (#s(alt (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) (patch (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) (taylor -inf x) (#s(alt (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) (patch (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) (taylor -inf x) (#s(alt (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) (patch (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) (taylor -inf x) (#s(alt (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) (patch (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/362880 (pow x 6)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow x 5)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (.f64 x x)) (patch (.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)) #<representation binary64>) () ())) ())
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#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow x 5)) (taylor -inf x) (#s(alt (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (.f64 x x)) (patch (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (.f64 x x)) (patch (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (.f64 x x)) (patch (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (.f64 x x)) (patch (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (.f64 x x)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

6.0ms

inf

((/ (* x x) (/ 1 (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6))) (- (sin x) x) (* x x) (/ 1 (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6)) (- (sin x) x) (* (+ (* 1/120 (* x x)) -1/6) x) (+ (* 1/120 (* x x)) -1/6) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (* (* x x) x)) (+ (* (* x x) 1/120) -1/6) (/ x (/ 1 (+ (* 1/120 (* x x)) -1/6))) (- (sin x) x) (/ 1 (+ (* 1/120 (* x x)) -1/6)) (+ (* 1/120 (* x x)) -1/6) (/ (pow x 3) (/ 1 (+ (* 1/120 (* x x)) -1/6))) (- (sin x) x) (pow x 3) (* (/ (* x x) (/ 1 (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6))) x) (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (* (* (+ (* 1/120 (* x x)) -1/6) x) (* x x)) (* (* x x) x) (* (/ x (/ 1 (+ (* 1/120 (* x x)) -1/6))) (* x x)))

2.0ms

-inf

((/ (* x x) (/ 1 (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6))) (- (sin x) x) (* x x) (/ 1 (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6)) (- (sin x) x) (* (+ (* 1/120 (* x x)) -1/6) x) (+ (* 1/120 (* x x)) -1/6) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (* (* x x) x)) (+ (* (* x x) 1/120) -1/6) (/ x (/ 1 (+ (* 1/120 (* x x)) -1/6))) (- (sin x) x) (/ 1 (+ (* 1/120 (* x x)) -1/6)) (+ (* 1/120 (* x x)) -1/6) (/ (pow x 3) (/ 1 (+ (* 1/120 (* x x)) -1/6))) (- (sin x) x) (pow x 3) (* (/ (* x x) (/ 1 (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6))) x) (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (* (* (+ (* 1/120 (* x x)) -1/6) x) (* x x)) (* (* x x) x) (* (/ x (/ 1 (+ (* 1/120 (* x x)) -1/6))) (* x x)))

1.0ms

((/ (* x x) (/ 1 (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6))) (- (sin x) x) (* x x) (/ 1 (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6)) (- (sin x) x) (* (+ (* 1/120 (* x x)) -1/6) x) (+ (* 1/120 (* x x)) -1/6) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (* (* x x) x)) (+ (* (* x x) 1/120) -1/6) (/ x (/ 1 (+ (* 1/120 (* x x)) -1/6))) (- (sin x) x) (/ 1 (+ (* 1/120 (* x x)) -1/6)) (+ (* 1/120 (* x x)) -1/6) (/ (pow x 3) (/ 1 (+ (* 1/120 (* x x)) -1/6))) (- (sin x) x) (pow x 3) (* (/ (* x x) (/ 1 (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6))) x) (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (* (* (+ (* 1/120 (* x x)) -1/6) x) (* x x)) (* (* x x) x) (* (/ x (/ 1 (+ (* 1/120 (* x x)) -1/6))) (* x x)))

simplify235.0ms (3.6%)

Memory

8.4MiB live, 162.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	2306
1	362	2306
2	997	2306
3	2993	2246
4	7039	2216
0	8060	2099

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-6
(- (* -3/10 (pow x 2)) 6)
(- (* (pow x 2) (- (* -11/1400 (pow x 2)) 3/10)) 6)
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/126000 (pow x 2)) 11/1400)) 3/10)) 6)
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* 1/120 (pow x 2)) 1/6))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(* -1/6 x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* 1/120 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
-6
(- (* -3/10 (pow x 2)) 6)
(- (* (pow x 2) (- (* -3/200 (pow x 2)) 3/10)) 6)
(- (* (pow x 2) (- (* (pow x 2) (- (* -3/4000 (pow x 2)) 3/200)) 3/10)) 6)
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* 1/362880 (pow x 8))
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 362880 (pow x 6))
(/ (+ 362880 (* 26127360 (/ 1 (pow x 2)))) (pow x 6))
(/ (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (pow x 6))
(/ (- (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (* 627056640 (/ 1 (pow x 6)))) (pow x 6))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* 1/120 (pow x 3))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 3))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(/ 120 (pow x 2))
(/ (+ 120 (* 2400 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (/ 48000 (pow x 4)))) (pow x 2))
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (+ (* 960000 (/ 1 (pow x 6))) (/ 48000 (pow x 4))))) (pow x 2))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/362880 (pow x 9))
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/362880 (pow x 8))
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 362880 (pow x 6))
(/ (+ 362880 (* 26127360 (/ 1 (pow x 2)))) (pow x 6))
(/ (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (pow x 6))
(/ (- (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (* 627056640 (/ 1 (pow x 6)))) (pow x 6))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* 1/120 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(/ 120 (pow x 2))
(/ (+ 120 (* 2400 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (/ 48000 (pow x 4)))) (pow x 2))
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (+ (* 960000 (/ 1 (pow x 6))) (/ 48000 (pow x 4))))) (pow x 2))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/362880 (pow x 9))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))

Outputs
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
-6
#s(literal -6 binary64)
(- (* -3/10 (pow x 2)) 6)
(fma.f64 #s(literal -3/10 binary64) (*.f64 x x) #s(literal -6 binary64))
(- (* (pow x 2) (- (* -11/1400 (pow x 2)) 3/10)) 6)
(fma.f64 (fma.f64 #s(literal -11/1400 binary64) (.f64 x x) #s(literal -3/10 binary64)) (.f64 x x) #s(literal -6 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/126000 (pow x 2)) 11/1400)) 3/10)) 6)
(fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (.f64 x x) #s(literal -11/1400 binary64)) (.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* x (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
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(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* 1/362880 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/362880 binary64))
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/362880 binary64))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/362880 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 8 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(neg.f64 (-.f64 x (sin.f64 x)))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(neg.f64 (-.f64 x (sin.f64 x)))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(neg.f64 (-.f64 x (sin.f64 x)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 362880 (pow x 6))
(/.f64 #s(literal 362880 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 362880 (* 26127360 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 (/.f64 #s(literal 26127360 binary64) (*.f64 x x)) #s(literal 362880 binary64)) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (pow x 6))
(/.f64 (+.f64 (/.f64 #s(literal 783820800 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 26127360 binary64) (*.f64 x x)) #s(literal 362880 binary64))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (* 627056640 (/ 1 (pow x 6)))) (pow x 6))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 783820800 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 26127360 binary64) (*.f64 x x)) #s(literal 362880 binary64))) (/.f64 #s(literal 627056640 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(neg.f64 (-.f64 x (sin.f64 x)))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(neg.f64 (-.f64 x (sin.f64 x)))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(neg.f64 (-.f64 x (sin.f64 x)))
(* 1/120 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)
(* 1/120 (pow x 2))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(neg.f64 (-.f64 x (sin.f64 x)))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(neg.f64 (-.f64 x (sin.f64 x)))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(neg.f64 (-.f64 x (sin.f64 x)))
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* 1/120 (pow x 2))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* 1/120 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(neg.f64 (-.f64 x (sin.f64 x)))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(neg.f64 (-.f64 x (sin.f64 x)))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(neg.f64 (-.f64 x (sin.f64 x)))
(/ 120 (pow x 2))
(/.f64 #s(literal 120 binary64) (*.f64 x x))
(/ (+ 120 (* 2400 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2400 binary64) (*.f64 x x)) #s(literal 120 binary64)) x) x)
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (/ 48000 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 48000 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2400 binary64) (.f64 x x)) #s(literal 120 binary64))) (.f64 x x))
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (+ (* 960000 (/ 1 (pow x 6))) (/ 48000 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 960000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 120 binary64)) (+.f64 (/.f64 #s(literal 48000 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2400 binary64) (.f64 x x)))) (.f64 x x))
(* 1/120 (pow x 2))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(neg.f64 (-.f64 x (sin.f64 x)))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(neg.f64 (-.f64 x (sin.f64 x)))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(neg.f64 (-.f64 x (sin.f64 x)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* 1/362880 (pow x 9))
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/362880 binary64))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/362880 binary64))))
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/362880 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* 1/362880 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/362880 binary64))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/362880 binary64))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/362880 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))

rewrite199.0ms (3.1%)

Memory

-2.2MiB live, 193.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	292
0	59	266
1	225	258
2	1242	258
0	8857	258

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

22 → 1 190

Calls

Call 1

Inputs
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) x))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
(.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x)
#s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(pow.f64 x #s(literal 3 binary64))
(.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(.f64 (.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))
(.f64 (.f64 x x) x)
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x))

Outputs
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eval281.0ms (4.3%)

Memory: 2.9MiB live, 464.9MiB allocated
Compiler: Compiled 41 872 to 4 522 computations (89.2% saved)

prune140.0ms (2.2%)

Memory

5.5MiB live, 129.3MiB allocated

Pruning

25 alts after pruning (18 fresh and 7 done)

	Pruned	Kept	Total
New	1 862	11	1 873
Fresh	5	7	12
Picked	3	2	5
Done	1	5	6
Total	1 871	25	1 896

Accuracy

100.0%

Counts

1 896 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.0%	(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 x) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
	6.6%	(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
✓	69.1%	(-.f64 (sin.f64 x) x)
	98.4%	#s(approx (- (sin x) x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) (.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) x))))
	97.5%	#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (/ 1 (+ (* 1/120 (* x x)) -1/6)) #s(literal -6 binary64))))
	98.5%	#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
	98.5%	#s(approx (- (sin x) x) (/.f64 (.f64 (neg.f64 x) x) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)))
	97.4%	#s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (pow.f64 x #s(literal -2 binary64))))
	96.4%	#s(approx (- (sin x) x) (/.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (pow.f64 x #s(literal -3 binary64))))
	98.8%	#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (*.f64 x x) x)))
	98.9%	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) x) x) (.f64 x x) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x))
✓	98.4%	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))
	98.4%	#s(approx (- (sin x) x) (.f64 (fma.f64 x #s(literal -1/6 binary64) (.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) x)) (*.f64 x x)))
✓	97.4%	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
	99.0%	#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)))))) x))
	97.4%	#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6)) #s(literal -6 binary64))) x))
	97.5%	#s(approx (- (sin x) x) (.f64 (/.f64 x #s(approx (/ 1 (+ ( 1/120 (* x x)) -1/6)) #s(literal -6 binary64))) (*.f64 x x)))
✓	98.9%	#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x))
	98.4%	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
	97.4%	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
	97.4%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
	98.9%	#s(approx (- (sin x) x) (.f64 (.f64 (neg.f64 x) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))) x))
✓	97.4%	#s(approx (- (sin x) x) (.f64 (.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
✓	97.4%	#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
✓	6.4%	#s(approx (- (sin x) x) (neg.f64 x))

Compiler

Compiled 986 to 426 computations (56.8% saved)

regimes24.0ms (0.4%)

Memory

-6.2MiB live, 30.6MiB allocated

Counts

42 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (.f64 (/.f64 x #s(approx (/ 1 (+ ( 1/120 (* x x)) -1/6)) #s(literal -6 binary64))) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6)) #s(literal -6 binary64))) x))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 x #s(literal -1/6 binary64) (.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) x)) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (*.f64 x x) x)))
#s(approx (- (sin x) x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) (.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) x))))
#s(approx (- (sin x) x) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x)))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x))
#s(approx (- (sin x) x) (/.f64 (.f64 (neg.f64 x) x) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) x) x) (.f64 x x) (.f64 #s(literal -1/6 binary64) (.f64 x x))) x))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) x) x) (.f64 x x) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) x))
#s(approx (- (sin x) x) (.f64 (.f64 (neg.f64 x) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))) x))
(-.f64 (sin.f64 x) x)
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (/.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (pow.f64 x #s(literal -3 binary64))))
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (/ 1 (+ (* 1/120 (* x x)) -1/6)) #s(literal -6 binary64))))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (pow.f64 x #s(literal -2 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) x))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (- (sin x) x) #s(approx (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 9 binary64)))))
#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)))))) x))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 x) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))

Outputs

#s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)))))) x))

Calls

2 calls:

11.0ms	x
9.0ms	(-.f64 (sin.f64 x) x)

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes20.0ms (0.3%)

Memory

33.8MiB live, 33.8MiB allocated

Counts

39 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (.f64 (/.f64 x #s(approx (/ 1 (+ ( 1/120 (* x x)) -1/6)) #s(literal -6 binary64))) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6)) #s(literal -6 binary64))) x))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 x #s(literal -1/6 binary64) (.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) x)) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (*.f64 x x) x)))
#s(approx (- (sin x) x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) (.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) x))))
#s(approx (- (sin x) x) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x)))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x))
#s(approx (- (sin x) x) (/.f64 (.f64 (neg.f64 x) x) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) x) x) (.f64 x x) (.f64 #s(literal -1/6 binary64) (.f64 x x))) x))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) x) x) (.f64 x x) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) x))
#s(approx (- (sin x) x) (.f64 (.f64 (neg.f64 x) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))) x))
(-.f64 (sin.f64 x) x)
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (/.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (pow.f64 x #s(literal -3 binary64))))
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (/ 1 (+ (* 1/120 (* x x)) -1/6)) #s(literal -6 binary64))))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (pow.f64 x #s(literal -2 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) x))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (- (sin x) x) #s(approx (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 9 binary64)))))

Outputs

#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))

Calls

2 calls:

10.0ms	x
8.0ms	(-.f64 (sin.f64 x) x)

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes24.0ms (0.4%)

Memory

-47.8MiB live, 17.9MiB allocated

Counts

34 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (.f64 (/.f64 x #s(approx (/ 1 (+ ( 1/120 (* x x)) -1/6)) #s(literal -6 binary64))) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6)) #s(literal -6 binary64))) x))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 x #s(literal -1/6 binary64) (.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) x)) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (*.f64 x x) x)))
#s(approx (- (sin x) x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) (.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) x))))
#s(approx (- (sin x) x) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x)))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x))
#s(approx (- (sin x) x) (/.f64 (.f64 (neg.f64 x) x) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) x) x) (.f64 x x) (.f64 #s(literal -1/6 binary64) (.f64 x x))) x))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) x) x) (.f64 x x) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) x))
#s(approx (- (sin x) x) (.f64 (.f64 (neg.f64 x) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))) x))
(-.f64 (sin.f64 x) x)
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (/.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) (pow.f64 x #s(literal -3 binary64))))
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (/ 1 (+ (* 1/120 (* x x)) -1/6)) #s(literal -6 binary64))))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) (/.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (pow.f64 x #s(literal -2 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) x))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))

Outputs

#s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) x))

Calls

2 calls:

13.0ms	(-.f64 (sin.f64 x) x)
9.0ms	x

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes12.0ms (0.2%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (.f64 (/.f64 x #s(approx (/ 1 (+ ( 1/120 (* x x)) -1/6)) #s(literal -6 binary64))) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6)) #s(literal -6 binary64))) x))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 x #s(literal -1/6 binary64) (.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) x)) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (*.f64 x x) x)))
#s(approx (- (sin x) x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) (.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) x))))
#s(approx (- (sin x) x) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x)))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x))
#s(approx (- (sin x) x) (/.f64 (.f64 (neg.f64 x) x) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) x) x) (.f64 x x) (.f64 #s(literal -1/6 binary64) (.f64 x x))) x))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) x) x) (.f64 x x) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x))

Outputs

#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) x))

Calls

2 calls:

6.0ms	x
5.0ms	(-.f64 (sin.f64 x) x)

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes12.0ms (0.2%)

Memory

-16.0MiB live, 22.7MiB allocated

Counts

19 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (.f64 (/.f64 x #s(approx (/ 1 (+ ( 1/120 (* x x)) -1/6)) #s(literal -6 binary64))) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6)) #s(literal -6 binary64))) x))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 x #s(literal -1/6 binary64) (.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) x)) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (*.f64 x x) x)))
#s(approx (- (sin x) x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) (.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) x))))
#s(approx (- (sin x) x) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x)))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x))
#s(approx (- (sin x) x) (/.f64 (.f64 (neg.f64 x) x) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)))

Outputs

#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))

Calls

2 calls:

7.0ms	x
5.0ms	(-.f64 (sin.f64 x) x)

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes10.0ms (0.2%)

Memory

16.8MiB live, 16.8MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (.f64 (/.f64 x #s(approx (/ 1 (+ ( 1/120 (* x x)) -1/6)) #s(literal -6 binary64))) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6)) #s(literal -6 binary64))) x))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 x #s(literal -1/6 binary64) (.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) x)) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (*.f64 x x) x)))
#s(approx (- (sin x) x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) (.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) x))))
#s(approx (- (sin x) x) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x)))
#s(approx (- (sin x) x) (/.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))

Outputs
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (*.f64 x x) x)))

Calls

2 calls:

5.0ms	x
4.0ms	(-.f64 (sin.f64 x) x)

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes8.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (.f64 (/.f64 x #s(approx (/ 1 (+ ( 1/120 (* x x)) -1/6)) #s(literal -6 binary64))) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6)) #s(literal -6 binary64))) x))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 x #s(literal -1/6 binary64) (.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) x)) (*.f64 x x)))

Outputs
#s(approx (- (sin x) x) (.f64 (fma.f64 x #s(literal -1/6 binary64) (.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) x)) (*.f64 x x)))

Calls

2 calls:

4.0ms	x
3.0ms	(-.f64 (sin.f64 x) x)

Results

Accuracy	Segments	Branch
98.4%	1	`(-.f64 (sin.f64 x) x)`
98.4%	1	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes9.0ms (0.1%)

Memory

-25.0MiB live, 13.4MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (.f64 (/.f64 x #s(approx (/ 1 (+ ( 1/120 (* x x)) -1/6)) #s(literal -6 binary64))) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6)) #s(literal -6 binary64))) x))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x)))

Outputs
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))

Calls

2 calls:

5.0ms	(-.f64 (sin.f64 x) x)
4.0ms	x

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes7.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (.f64 (/.f64 x #s(approx (/ 1 (+ ( 1/120 (* x x)) -1/6)) #s(literal -6 binary64))) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6)) #s(literal -6 binary64))) x))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))

Outputs
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))

Calls

2 calls:

3.0ms	x
3.0ms	(-.f64 (sin.f64 x) x)

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes6.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (.f64 (/.f64 x #s(approx (/ 1 (+ ( 1/120 (* x x)) -1/6)) #s(literal -6 binary64))) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6)) #s(literal -6 binary64))) x))

Outputs
#s(approx (- (sin x) x) (.f64 (/.f64 x #s(approx (/ 1 (+ ( 1/120 (* x x)) -1/6)) #s(literal -6 binary64))) (*.f64 x x)))

Calls

2 calls:

3.0ms	x
3.0ms	(-.f64 (sin.f64 x) x)

Results

Accuracy	Segments	Branch
97.5%	1	`x`
97.5%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes7.0ms (0.1%)

Memory

-28.7MiB live, 9.4MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))

Outputs
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))

Calls

2 calls:

4.0ms	x
2.0ms	(-.f64 (sin.f64 x) x)

Results

Accuracy	Segments	Branch
97.4%	1	`x`
97.4%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))

Outputs
#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))

Calls

2 calls:

2.0ms	x
1.0ms	(-.f64 (sin.f64 x) x)

Results

Accuracy	Segments	Branch
97.4%	1	`x`
97.4%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))

Outputs
#s(approx (- (sin x) x) (neg.f64 x))

Calls

2 calls:

1.0ms	x
1.0ms	(-.f64 (sin.f64 x) x)

Results

Accuracy	Segments	Branch
6.4%	1	`(-.f64 (sin.f64 x) x)`
6.4%	1	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

simplify28.0ms (0.4%)

Memory

11.0MiB live, 52.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	282
1	110	282
2	112	282
3	113	282

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)))))) x))
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) x))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) x) x) (.f64 x x) (.f64 #s(literal -1/6 binary64) (.f64 x x))) x))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x))
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (*.f64 x x) x)))
#s(approx (- (sin x) x) (.f64 (fma.f64 x #s(literal -1/6 binary64) (.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) x)) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (.f64 (/.f64 x #s(approx (/ 1 (+ ( 1/120 (* x x)) -1/6)) #s(literal -6 binary64))) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (- (sin x) x) (neg.f64 x))

Outputs
#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)))))) x))
#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64)))))) x))
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) x))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) x) x) (.f64 x x) (.f64 #s(literal -1/6 binary64) (.f64 x x))) x))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x)) x))
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (*.f64 x x) x)))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 x x) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (fma.f64 x #s(literal -1/6 binary64) (.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) x)) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (.f64 (/.f64 x #s(approx (/ 1 (+ ( 1/120 (* x x)) -1/6)) #s(literal -6 binary64))) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) x) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (- (sin x) x) (neg.f64 x))

soundness1.3s (20%)

Memory

-4.7MiB live, 636.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	2306
1	362	2306
2	997	2306
3	2993	2246
4	7039	2216
0	8060	2099
0	36	292
0	59	266
1	225	258
2	1242	258
0	8857	258
0	26	185
0	45	185
1	171	185
2	1194	185
0	8277	185
0	47	170
1	121	164
2	313	164
3	939	152
4	2033	140
5	3880	140
0	8027	128
0	40	271
0	62	249
1	222	249
2	1276	249
0	8525	245

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 560 to 312 computations (44.3% saved)

preprocess132.0ms (2%)

Memory: 11.7MiB live, 173.5MiB allocated
Remove: (negabs x)
Compiler: Compiled 884 to 442 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	5	13
1	15	11
2	46	8
3	103	8
4	135	8
5	137	8
0	3	4
0	5	4
1	7	4
2	12	4
3	18	4
4	26	4
5	41	4
6	74	4
7	100	4
8	143	4
9	160	4
10	172	4
0	172	4

Iter	Nodes	Cost
0	5	13
1	15	11
2	46	8
3	103	8
4	135	8
5	137	8
0	3	4
0	5	4
1	7	4
2	12	4
3	18	4
4	26	4
5	41	4
6	74	4
7	100	4
8	143	4
9	160	4
10	172	4
0	172	4

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (19.1%)

explain69.0ms (1.1%)

preprocess17.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize30.0ms (0.5%)

series1.0ms (0%)

simplify117.0ms (1.8%)

rewrite146.0ms (2.3%)

eval20.0ms (0.3%)

prune11.0ms (0.2%)

simplify153.0ms (2.4%)

localize146.0ms (2.3%)

series19.0ms (0.3%)

simplify106.0ms (1.6%)

rewrite189.0ms (2.9%)

eval99.0ms (1.5%)

prune37.0ms (0.6%)

simplify152.0ms (2.4%)

localize245.0ms (3.8%)

series86.0ms (1.3%)

simplify149.0ms (2.3%)

rewrite301.0ms (4.7%)

eval153.0ms (2.4%)

prune72.0ms (1.1%)

simplify255.0ms (3.9%)

localize181.0ms (2.8%)

series19.0ms (0.3%)

simplify235.0ms (3.6%)

rewrite199.0ms (3.1%)

eval281.0ms (4.3%)

prune140.0ms (2.2%)

regimes24.0ms (0.4%)

regimes20.0ms (0.3%)

regimes24.0ms (0.4%)

regimes12.0ms (0.2%)

regimes12.0ms (0.2%)

regimes10.0ms (0.2%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

simplify28.0ms (0.4%)

soundness1.3s (20%)

preprocess132.0ms (2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	5	13
1	15	11
2	46	8
3	103	8
4	135	8
5	137	8
0	3	4
0	5	4
1	7	4
2	12	4
3	18	4
4	26	4
5	41	4
6	74	4
7	100	4
8	143	4
9	160	4
10	172	4
0	172	4